Determine the spherical and deviatoric strain tensors for the strain field given in Exercise 2.10. Justify that the first invariant or dilatation of the deviatoric strain tensor is zero. In light of the results from Exercise 2.11, what does the vanishing of the dilatation imply?

Data from exercise 2.10

Using MATLAB, determine the principal values and directions of the following state of strain:

Data from exercise 2.11

A rectangular parallelepiped with original volume Vo is oriented such that its edges are parallel to the principal directions of strain as shown in the following figure. For small strains, show that the dilatation is given by:

Transcribed Image Text:

2 -2 22 -2 0 -4 1 16 10-3